Question

if F(t) and G(t) are of exponential order and L{F(t)}=L{G(t)} prove that F(t)=G(t). Can anyone help me prove this question plz =)

Answer 1

is L for \(\mathcal L\)aplace transform ?

Answer 2

yes

Answer 3

when you say \[\mathcal L\{F(t)\}=\mathcal L\{G(t)\}\]
do you mean \[\mathcal L\{f(t)\}=\mathcal L\{g(t)\}\]\[\qquad F(s)=G(s)\]?

Answer 4

or do you mean the laplace transforms of, the laplace transforms of the functions are equal /

Answer 5

laplace of this function are equal and i want to prove that the function also equal...but dunno to start it....can u help me plz

Answer 6

i am the same person that ask for this question.............actually this is a laplace transform theorem of derivatives............i need to prove this theorem.......the laplace for F(t)=G(t)